Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/85, 8/20, 8/41, 61/191 quickly i.e. 1464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/85, 8/20, 8/41, 61/191 is 1464.
LCM(3/85, 8/20, 8/41, 61/191) = 1464
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/85,8/20,8/41,61/191
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 3,8,8,61
Least Common Multiple of Numerators i.e. LCM of 3,8,8,61 is 1464.
GCF of Denominators means GCF of 85,20,41,191 as per the given fractions.
GCF of 85,20,41,191 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,8,8,61
2 | 3, 8, 8, 61 |
2 | 3, 4, 4, 61 |
2 | 3, 2, 2, 61 |
3, 1, 1, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 1 x 61 = 1464
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 3,8,8,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,8,8,61) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(3,8,8,61) x common factors =1 x 8 = 8
LCM(3,8,8,61) = ( 3 × 8 × 8 × 61 ) / 8
LCM(3,8,8,61) = 11712 / 8
LCM(3,8,8,61) = 1464
Lets's calculate GCF of 85,20,41,191
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1464/1
Therefore the LCM of Fractions 3/85,8/20,8/41,61/191 is 1464
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Greatest Common Factor
We found the factors 85,20,41,191 . The biggest common factor number is the GCF number.
So the greatest common factor 85,20,41,191 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 3/85, 8/20, 8/41, 61/191?
Answer: LCM of Numerators as per given numbers 3/85, 8/20, 8/41, 61/191 is
LCM of Numerators i.e. for 3,8,8,61 is 1464
GCF of denominators i.e. for 85,20,41,191 is 1.
Thus, LCM of Fractions is 1464.Finally, LCM of Fractions for 3/85, 8/20, 8/41, 61/191 is 1464.